This really helped me a lot. Thank you Steve so much!!!! I am practicing with a classmate to prepare for our college algebra final in two weeks and we have practice problems we can practice with but if we both come up with a different answer, we need help understanding where we went wrong, such as missing a step. We really liked the way you showed how you got this answer, this really helps!!! We do not have a answer sheet for these practice problems so we can not check the answers. We are very grateful.
You can check your answers. Just plug them back into the function for x and solve; if they're right you'll get zero for the function value (or close to it if you have some roundoff error).
You can use Synthetic Substitution and the Remainder Theorem; e.g., to check x = 1.88:
1.88 | -6 7 8
-11.28 -8.0464
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-6 -4.28 | -0.0464 ≈ 0 because we have some roundoff errors.
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Note: I'm sure the structure above will not come out correctly; see your text's examples of using Synthetic Division / Substitution.
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